102112100221213 has 2 divisors, whose sum is σ = 102112100221214. Its totient is φ = 102112100221212.

The previous prime is 102112100221207. The next prime is 102112100221217. The reversal of 102112100221213 is 312122001211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88702830295524 + 13409269925689 = 9418218^2 + 3661867^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112100221213 - 2³⁷ = 101974661267741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112100221217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050110606 + 51056050110607.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050110607).

Almost surely, 2^{102112100221213} is an apocalyptic number.

It is an amenable number.

102112100221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112100221213 is an equidigital number, since it uses as much as digits as its factorization.

102112100221213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102112100221213 its reverse (312122001211201), we get a palindrome (414234101432414).

The spelling of 102112100221213 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred twenty-one thousand, two hundred thirteen".